Statistics on the multi-colored permutation groups

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We define an excedance number for the multi-colored permutation group, i.e. the wreath product of Z_{r_1} x ... x Z_{r_k} with S_n, and calculate its multi-distribution with some natural parameters. We also compute the multi-distribution of the parameters exc(pi) and fix(pi) over the sets of involutions in the multi-colored permutation group. Using this, we count the number of involutions in this group having a fixed number of excedances and absolute fixed points.
16 pages, 1 figure; submitted

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Combinatorics, Group Theory, 05E15

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http://salesiana.dossiersoluciones.com/handle/123456789/120853

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0612844
 http://arxiv.org/abs/math/0612844

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arXiv